{
  "annotation_id": "6405ade2-7270-4ee6-b066-66bdb70c283e",
  "date_created": "2026-03-02T18:01:24.457000Z",
  "date_modified": "2026-03-02T18:01:24.457000Z",
  "file_hash": "b2b1405676b5bc64f2ad7fcf197446b8794520813ef2e6d8a891f4591461a3f8",
  "private": false,
  "record": {
    "abstract": "We construct the space of vector fields on a generic quantum group. Its\nelements are products of elements of the quantum group itself with left\ninvariant vector fields. We study the duality between vector fields and 1-forms\nand generalize the construction to tensor fields. A Lie derivative along any\n(also non left invariant) vector field is proposed and a puzzling ambiguity in\nits definition discussed. These results hold for a generic Hopf algebra.",
    "arxiv_id": "q-alg/9505023",
    "authors": [
      "Paolo Aschieri",
      "Peter Schupp"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1142/S0217751X9600050X",
    "journal_ref": "Int.J.Mod.Phys. A11 (1996) 1077-1100",
    "title": "Vector Fields on Quantum Groups",
    "url": "https://arxiv.org/abs/q-alg/9505023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b0511021-369d-4296-89ab-f5c6cf84a227",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}